diff --git a/setup.py b/setup.py
index df483c1ec9c..48250a5634f 100644
--- a/setup.py
+++ b/setup.py
@@ -113,8 +113,8 @@ _deps = [
     "importlib_metadata",
     "ipadic>=1.0.0,<2.0",
     "isort>=5.5.4",
-    "jax>=0.2.8,!=0.3.2",
-    "jaxlib>=0.1.65",
+    "jax>=0.2.8,!=0.3.2,<=0.3.6",
+    "jaxlib>=0.1.65,<=0.3.6",
     "jieba",
     "nltk",
     "numpy>=1.17",
diff --git a/src/transformers/dependency_versions_table.py b/src/transformers/dependency_versions_table.py
index 334103c20a5..2468fe9b6e1 100644
--- a/src/transformers/dependency_versions_table.py
+++ b/src/transformers/dependency_versions_table.py
@@ -23,8 +23,8 @@ deps = {
     "importlib_metadata": "importlib_metadata",
     "ipadic": "ipadic>=1.0.0,<2.0",
     "isort": "isort>=5.5.4",
-    "jax": "jax>=0.2.8,!=0.3.2",
-    "jaxlib": "jaxlib>=0.1.65",
+    "jax": "jax>=0.2.8,!=0.3.2,<=0.3.6",
+    "jaxlib": "jaxlib>=0.1.65,<=0.3.6",
     "jieba": "jieba",
     "nltk": "nltk",
     "numpy": "numpy>=1.17",